On Aubry sets and Mather's action functional
| dc.creator | Massart, Daniel | |
| dc.date | 2001-02-19 | |
| dc.date | 2006-03-17 | |
| dc.date.accessioned | 2026-07-07T06:35:23Z | |
| dc.date.available | 2026-07-07T06:35:23Z | |
| dc.description | We study Lagrangian systems on a closed manifold. We link the differentiability of Mather's beta-function with the topological complexity of the complement of the Aubry set. As a consequence, when the dimension of the manifold is less than or equal to two, the differentiability of the beta-function at a given homology class is forced by the irrationality of the homology class. As an application we prove the two-dimensional case of a conjecture by Ricardo Mane. | |
| dc.description | 17 pages, 2nd version | |
| dc.identifier | https://arxiv.org/abs/math/0102147 | |
| dc.identifier | http://arxiv.org/abs/math/0102147 | |
| dc.identifier | Israel J. Math. 134 (2003), 157--171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99775 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37J40, 37J45, 37J50 | |
| dc.title | On Aubry sets and Mather's action functional | |
| dc.type | text |